Automorphism Groups of Algebraic Number Fields.
Automorphism Groups of Compact Planar Klein Surfaces.
Automorphism Groups of Designs.
Automorphism invariants for semigroups.
Automorphisms and enumeration of switching classes of tournaments.
Automorphisms of completely primary finite rings of characteristic p
A completely primary ring is a ring R with identity 1 ≠ 0 whose subset of zero-divisors forms the unique maximal ideal . We determine the structure of the group of automorphisms Aut(R) of a completely primary finite ring R of characteristic p, such that if is the Jacobson radical of R, then ³ = (0), ² ≠ (0), the annihilator of coincides with ² and , the finite field of elements, for any prime p and any positive integer r.
Automorphisms of models of bounded arithmetic
We establish the following model-theoretic characterization of the fragment IΔ₀ + Exp + BΣ₁ of Peano arithmetic in terms of fixed points of automorphisms of models of bounded arithmetic (the fragment IΔ₀ of Peano arithmetic with induction limited to Δ₀-formulae). Theorem A. The following two conditions are equivalent for a countable model of the language of arithmetic: (a) satisfies IΔ₀ + BΣ₁ + Exp; (b) for some nontrivial automorphism j of an end extension of that satisfies IΔ₀. Here is the...
Automorphisms of regular wreath product -groups.
Autormorphism groups of countable highly homogeneous partially ordererd sets.
Avoiding maximal parabolic subgroups of .
Bestimmung von Untergruppen durch Permutationsdarstellungen.
Beweise und Lehrsätze über transitive Gruppen.
B-groups of order a product of two distinct primes
Bijection between bigrassmannian permutations maximal below a permutation and its essential set.
Bipartition orders and statistics on words. (Ordres bipartitionnaires et statistiques sur les mots.)
Block systems of a Galois group.
Blocking sets which are preserved by transitive collineation groups.
Bounding the number of edges in permutation graphs.
Bounding the Rank of Certain Permutation Groups.
Brauer relations in finite groups
If is a non-cyclic finite group, non-isomorphic -sets may give rise to isomorphic permutation representations . Equivalently, the map from the Burnside ring to the rational representation ring of has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave–Bouc classification in the case of -groups.